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Question 21N.2.HL.TZ0.4c.i

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Date November 2021 Marks available [Maximum mark: 3] Reference code 21N.2.HL.TZ0.4c.i
Level HL Paper 2 Time zone TZ0
Command term Estimate Question number c.i Adapted from N/A
c.i.
[Maximum mark: 3]
21N.2.HL.TZ0.4c.i

The energy in b(i) can be transferred into electrical energy to run the instruments of a spacecraft. A spacecraft carries 33 kg of pure plutonium-238 at launch. The decay constant of plutonium is 2.50 × 10−10 s−1.

(c.i)

Estimate the power, in kW, that is available from the plutonium at launch.

[3]

Markscheme

number of nuclei present =33×103238×6.02×1023«=8.347×1025» ✓

initial activity is λN0=2.5×10-10×8.347×1025«=2.08×1016Bq» ✓

power is 2.08×1016×5.51×106×1.6×10-1918 «kW» ✓

 

Allow a final answer of 20 kW if 6 MeV used.

Allow ECF from MP1 and MP2.